3 papers
math.AG2026
On a relation of a conjecture of Goncharov to the co-Lie algebra of Bloch-Kriz mixed Tate motives
Kenichiro Kimura
Goncharov defined for each field and an integer greater than 1 a certain group . We consider the possibility of defining a linear map from to the co-Lie al…
math.AG2025
Integrals of logarithmic forms on semi-algebraic sets and a generalized Cauchy formula Part II: generalized Cauchy formula
Masaki Hanamura, Kenichiro Kimura, Tomohide Terasoma
This paper is the continuation of the paper arXiv:1509.06950, which is Part I under the same title. In this paper, we prove a generalized Cauchy formula for the integrals of logari…
math.NT2024
An application of a Hodge realization of Bloch-Kriz mixed Tate motives
Kenichiro Kimura
Beilinson and Deligne proved a weak version of Zagier's conjucture on special values of Dedekind zeta functions assuming the existence of a category of mixed Tate motives which has…